What is the answer to 10+9|6+n|=37 ?

The answer to 10+9|6+n|=37 is n=-9\lor n=-3

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10+9|6+n|=37

10 + 9 ∣ 6 + n ∣ = 37

n = - 9 or n = - 3

Solution steps

10 + 9 ∣ 6 + n ∣ = 37

Move

10

to the right side

9 ∣ 6 + n ∣ = 27

Divide both sides by

9

∣ 6 + n ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 + n = - 3 or 6 + n = 3

6 + n = - 3 or 6 + n = 3

n = - 9 or n = - 3

7 ∣ x - 6 ∣ = 34

7 ∣ x - 6 ∣ = 38

∣ 8 n + 3 ∣ = 5

7 ∣ x - 6 ∣ = 30

∣ 5 v + 10 ∣ = - 15

What is the answer to 10+9|6+n|=37 ?
The answer to 10+9|6+n|=37 is n=-9\lor n=-3
Solve for n: 10+9|6+n|=37
The solution is n=-9\lor n=-3